DETECTING HIDDEN FREQUENCIES IN DYNAMICAL TIME-SERIES - A NUMERICAL REPORT

被引：3

作者：

ORTEGA, G

ROMANELLI, L

机构：

[1] Departamento de Física, Facultad de Ciencias Exactas, Naturales Universidad de Buenos Aires, Ciudad Universitaria, Capital Federal

来源：

CHAOS SOLITONS & FRACTALS | 1995年 / 6卷

关键词：

D O I：

10.1016/0960-0779(95)80048-L

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Periodicities in a dynamical system are determined by using only one variable. Embedding the data in higher dimensional spaces allows us to find recurrence time associated with particular points in the attractor. The present analysis is useful for experimental time series where traditional tools (e.g., Fourier Transform) fail in detecting some intrinsic frequencies of the system.

引用

页码：411 / 415

页数：5

共 7 条

[1] THE ANALYSIS OF OBSERVED CHAOTIC DATA IN PHYSICAL SYSTEMS
ABARBANEL, HDI
BROWN, R
SIDOROWICH, JJ
TSIMRING, LS
[J]. REVIEWS OF MODERN PHYSICS, 1993, 65 (04) : 1331 - 1392
[2] [Anonymous], 1968, SPECTRAL ANAL ITS AP
[3] EXPLORING CHAOTIC MOTION THROUGH PERIODIC-ORBITS
AUERBACH, D
CVITANOVIC, P
ECKMANN, JP
GUNARATNE, G
PROCACCIA, I
[J]. PHYSICAL REVIEW LETTERS, 1987, 58 (23) : 2387 - 2389
[4] NUMERICAL TRANSFORMS
BRACEWELL, RN
[J]. SCIENCE, 1990, 248 (4956) : 697 - 704
[5] RECURRENCE PLOTS OF DYNAMIC-SYSTEMS
ECKMANN, JP
KAMPHORST, SO
RUELLE, D
[J]. EUROPHYSICS LETTERS, 1987, 4 (09): : 973 - 977
[6] CHARACTERIZATION OF AN EXPERIMENTAL STRANGE ATTRACTOR BY PERIODIC-ORBITS
LATHROP, DP
KOSTELICH, EJ
[J]. PHYSICAL REVIEW A, 1989, 40 (07): : 4028 - 4031
[7] TOPOLOGICAL ANALYSIS AND SYNTHESIS OF CHAOTIC TIME-SERIES
MINDLIN, GB
GILMORE, R
[J]. PHYSICA D, 1992, 58 (1-4): : 229 - 242

← 1 →